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Finding the Third Proportional to 474,073.50 and 1,003,902

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Solution

The third proportional to 474,073.50 and 1,003,902 is: 2,125,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,073.50 : 1,003,902 = 1,003,902 : x
  2. Step 2: Convert to fraction form
    474,073.50/1,003,902 = 1,003,902/x
  3. Step 3: Cross multiply
    474,073.50x = 1,003,902 × 1,003,902
  4. Step 4: Simplify right side
    474,073.50x = 1,007,819,225,604
  5. Step 5: Solve for x
    x = 1,007,819,225,604/474,073.50
  6. Step 6: Final answer
    x = 2,125,871.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.